Half-Life 2: Episode Three is going to be a massive deal. of a climax similar to that of the original Half-Life 2; a final, do-or-die battle that will end the current saga, and not in anything

Actually they did, but Valve decided that the game scope is not enough for an episodic game, so they moved from episodic model game to a full sequel (Half-Life 3) in 2010s and again cancelled because they also developing Source 2 which at that time isn't finished yet. More info in this this article :

How in any way is this a refutation? Half-Life 2:Aftermath isn't a thing. It was a cancelled project. What does that have to do with how Episode 1 feels? Sure, they're connected in that it was supposed to be one single thing but the splitting up didn't cause that much of an issue.
Half-Life 2 launched in 2004 and is available on Mobile, PC, PS3, Xbox, and Xbox 360. MORE: 7 Games With The Coolest Gravity Mechanics Source: DSO Gaming , ModDB

Half-Life 2: Remastered Collection is a “Valve sanctioned” tune-up of their classic shooter. Alyx of paint. Craig Pearson. 2 years ago. 13.

Instead of a full-fledged sequel to Half-Life 2, Valve released Half-Life 2: Episode 1 in 2006, followed by Episode 2 a year later. These short games, each around four to six hours, were presented ap2Eo.
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  • is half life 2 episode 1 a sequel